Solving Quadratic Equations with the Zero Product Property and D

•  can explain the meaning of the “zero product property.”

• I can find solutions to quadratic equations when one side is a product of factors and the other side is zero.

• I can explain why dividing by a variable to solve a quadratic equation is not a good strategy.

• I know that quadratic equations can have no solutions and can explain why there are none.

The zero product property says that if the product of two numbers is 0, then one of the numbers must be 0.

• The zero product property helps us find the solutions to (x – 3)(x + 4) = 0, by showing us that either x-3=0, or x+4 = 0.?

• The zero product property only works when the product of the factors is zero. When the product is any other number, we can’t conclude that each factor is that number; therefore why the solutions to (x – 3)(x + 4) = 8 will not be 3 and -4?

• Although he expression x² – x – 12 is equivalent to (x + 3)(x – 4). We cannot apply the zero product property to solve x² – x – 12 = 0 because the expression is not a product of factors.

• You cannot solve the quadratic x² – x – 12 = 0 by performing the same operation to each side of the equation because doing so doesn’t help us isolate the variable.?

 (x – 5)(x + 1) = 7​

Disagree. Priya solved the equation using the reasoning we would use with the zero product property, but the zero product property only works if the product of two factors is 0. We can tell that 12 isn’t a solution because is 91, not 7.

•  can explain the meaning of the “zero product property.”

• I can find solutions to quadratic equations when one side is a product of factors and the other side is zero.

• I can explain why dividing by a variable to solve a quadratic equation is not a good strategy.

• I know that quadratic equations can have no solutions and can explain why there are none.